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Finding the Fourth Proportional to 3,430.13, 4,733.60 and 1,858.23

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Solution

The fourth proportional to 3,430.13, 4,733.60 and 1,858.23 is: 2,564.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.13 : 4,733.60 = 1,858.23 : x
  2. Step 2: Convert to fraction form
    3,430.13/4,733.60 = 1,858.23/x
  3. Step 3: Cross multiply
    3,430.13x = 4,733.60 × 1,858.23
  4. Step 4: Simplify right side
    3,430.13x = 8,796,108.24
  5. Step 5: Solve for x
    x = 8,796,108.24/3,430.13
  6. Step 6: Final answer
    x = 2,564.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.